Theorem dfom3 4690

Description: Alias for df-iom 4689. Use it instead of df-iom 4689 for naming consistency with set.mm. (Contributed by NM, 6-Aug-1994.)

Assertion

Ref	Expression
dfom3	|- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Distinct variable group:   x, y

Proof of Theorem dfom3

Step	Hyp	Ref	Expression
1		df-iom 4689	1 |- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Syntax hints:   /\ wa 104   = wceq 1397   e. wcel 2202   {cab 2217   A.wral 2510   (/)c0 3494   |^|cint 3928   suc csuc 4462   omcom 4688

This theorem depends on definitions:  df-iom 4689

This theorem is referenced by:  omex  4691  peano1  4692  peano2  4693  peano5  4696  bj-dfom  16528